Least Common Multiple of 46/463, 691/617, 838/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/463, 691/617, 838/971 quickly i.e. 13318334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/463, 691/617, 838/971 is 13318334.

LCM(46/463, 691/617, 838/971) = 13318334

LCM of 46/463, 691/617, 838/971

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 46/463,691/617,838/971

Given numbers are 46/463,691/617,838/971

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 46,691,838

Least Common Multiple of Numerators i.e. LCM of 46,691,838 is 13318334.

GCF of Denominators means GCF of 463,617,971 as per the given fractions.

GCF of 463,617,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,691,838

LCM of Fractions 46/463,691/617,838/971 is 13318334

2 46, 691, 838
23, 691, 419

∴ So the LCM of the given numbers is 2 x 23 x 691 x 419 = 13318334

Least Common Multiple of 46,691,838 with GCF Formula

Least Common Multiple of 46,691,838 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,691,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,691,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,691,838) x common factors =1 x 2 = 2

LCM(46,691,838) = ( 46 × 691 × 838 ) / 2

LCM(46,691,838) = 26636668 / 2

LCM(46,691,838) = 13318334


Lets's calculate GCF of 463,617,971

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13318334/1

Therefore the LCM of Fractions 46/463,691/617,838/971 is 13318334

Greatest Common Factor of 463,617,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,617,971 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 463,617,971 . The biggest common factor number is the GCF number.
So the greatest common factor 463,617,971 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 46/463, 691/617, 838/971

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 46/463, 691/617, 838/971?

Answer: LCM of Numerators as per given numbers 46/463, 691/617, 838/971 is

LCM of Numerators i.e. for 46,691,838 is 13318334

GCF of denominators i.e. for 463,617,971 is 1.

Thus, LCM of Fractions is 13318334.Finally, LCM of Fractions for 46/463, 691/617, 838/971 is 13318334.